I am not familiar with those puzzles and I would like to find out do I miss some rules which are necessary for solving those puzzles?
Here is an example - 28 (What is the name of this book? R.M.Smullyan)
In this problem, there are only two people, A and B, each of whom is either a knight or a knave. A makes the following statement: "At least one of us is a knave." What are A and B?<
Let's suppose A's statement is true - then, of course, A is knight, B is knave.(This is the right answer in the book)
But let's suppose A's statement is false -
then 1) A is knave, as he is making false statement, as implying that one (B in that case) is knave but not saying anything about himself - so the answer would be A - knave, B- knight;
or 2) A's statement is still false, when saying that "at least one of us is a knave" when the truth is, BOTH of them are knaves?
So my question is, can knaves make part-truth/part-lies statements? Another confusing detail is this 'either' usage in the question - when it is said "'either' of whom", does that mean a total 4 possibilities or 2 :
- A & B both knaves
- A & B both knights (not in this puzzle)
- A -knave, B - knight
- A - knight, B -knave